This series of problems leads you through the creation of a histogram and its corresponding tables for the data in Parts B and C, which you will now group by fives. Start with the stem and leaf plot for the grouping-by-fives scenario:
Create a grouped frequency table for this data set where the intervals have a width of five seconds.
The first interval will be 30 to < 35, the next will be 35 to < 40, etc. The last interval will be 90 to < 95. Close Tip
Problem H2
Create a histogram for this data set where the intervals have a width of five seconds.
If you have difficulty, refer to the guide in Part B. Close Tip
Problem H3
Using either the histogram or the grouped frequency table, create a relative frequency table and relative frequency histogram for this data set.
Refer to the guide in Part C if you have trouble here. Close Tip
Problem H4
Use the information from Problems H1-H3 to create a cumulative frequency and relative cumulative frequency chart for this data set.
Problem H5
Using only the histogram and grouped relative frequency table based on an interval width of five, give two descriptive statements that provide an answer to the question "How well do people judge when a minute has elapsed?"
Problem H6
Based on the information in these problems, is it now possible to go back and answer any of the questions in Problem C1 that previously could not be answered with a histogram? Can you give more accurate answers for some of the questions in Problem C1? Are there some questions that still cannot be answered with a histogram?
Pereira-Mendoza, Lionel and Dunkels, Andrejs (Summer, 1989). Stem-and-Leaf Plots in the Primary Grades. Teaching Statistics, 11 (2), 34-37.
This article first appeared in Teaching Statistics <http://science.ntu.ac.uk/rsscse/ts/> and is used with permission.
